We present algorithms for computation and visualization
of polynomial amoebas, their contours, compactified amoebas and sec-
tions of three-dimensional amoebas by two-dimensional planes. We also
provide a method and an algorithm for the computation of polynomials
whose amoebas exhibit the most complicated topology among all poly-
nomials with a fixed Newton polytope. The presented algorithms are
implemented in computer algebra systems Matlab 8 and Mathematica 9
